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Finding the Third Proportional to 52,768 and 124,560

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Solution

The third proportional to 52,768 and 124,560 is: 294,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768 : 124,560 = 124,560 : x
  2. Step 2: Convert to fraction form
    52,768/124,560 = 124,560/x
  3. Step 3: Cross multiply
    52,768x = 124,560 × 124,560
  4. Step 4: Simplify right side
    52,768x = 15,515,193,600
  5. Step 5: Solve for x
    x = 15,515,193,600/52,768
  6. Step 6: Final answer
    x = 294,026.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.